425117040100 has 81 divisors (see below), whose sum is σ = 932355837777. Its totient is φ = 168249876480.

The previous prime is 425117040097. The next prime is 425117040107. The reversal of 425117040100 is 1040711524.

The square root of 425117040100 is 652010.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 13 ways, for example, as 251468149156 + 173648890944 = 501466^2 + 416712^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (425117040107) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 736771012 + ... + 736771588.

Almost surely, 2^425117040100 is an apocalyptic number.

425117040100 is the 652010-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 425117040100

425117040100 is an abundant number, since it is smaller than the sum of its proper divisors (507238797677).

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

425117040100 is an equidigital number, since it uses as much as digits as its factorization.

425117040100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1394 (or 697 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 25.

Multiplying 425117040100 by its sum of digits (25), we get a square (10627926002500 = 3260050²).

425117040100 divided by its sum of digits (25) gives a square (17004681604 = 130402²).

Adding to 425117040100 its reverse (1040711524), we get a palindrome (426157751624).

The spelling of 425117040100 in words is "four hundred twenty-five billion, one hundred seventeen million, forty thousand, one hundred".