1325746890 has 192 divisors, whose sum is σ = 3937883040. Its totient is φ = 307077120.

The previous prime is 1325746847. The next prime is 1325746897. The reversal of 1325746890 is 986475231.

1325746890 is a `hidden beast` number, since 13 + 2 + 574 + 68 + 9 + 0 = 666.

1325746890 is digitally balanced in base 10, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 16 ways, for example, as 45037521 + 1280709369 = 6711^2 + 35787^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

1325746890 is strictly pandigital in base 10.

It is not an unprimeable number, because it can be changed into a prime (1325746897) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1390654 + ... + 1391606.

It is a 2-persistent number, because it is pandigital, and so is 2⋅1325746890 = 2651493780, but 3⋅1325746890 = 3977240670 is not.

It is a vampire number, since it can be written as 28590 ⋅ 46371 (with its own digits).

Almost surely, 2^1325746890 is an apocalyptic number.

1325746890 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1325746890, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1968941520).

1325746890 is an abundant number, since it is smaller than the sum of its proper divisors (2612136150).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1325746890 is a wasteful number, since it uses less digits than its factorization.

1325746890 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1049 (or 1046 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 1325746890 is about 36410.8073241998. The cubic root of 1325746890 is about 1098.5509542484.

The spelling of 1325746890 in words is "one billion, three hundred twenty-five million, seven hundred forty-six thousand, eight hundred ninety".