1625263488 has 128 divisors (see below), whose sum is σ = 4869072000. Its totient is φ = 533592576.

The previous prime is 1625263483. The next prime is 1625263489. The reversal of 1625263488 is 8843625261.

1625263488 is a `hidden beast` number, since 1 + 6 + 2 + 5 + 2 + 634 + 8 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×1625263488² = 5282962810851852288, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1625263481) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 228043 + ... + 235061.

It is an arithmetic number, because the mean of its divisors is an integer number (38039625).

Almost surely, 2^1625263488 is an apocalyptic number.

1625263488 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1625263488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2434536000).

1625263488 is an abundant number, since it is smaller than the sum of its proper divisors (3243808512).

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

1625263488 is an equidigital number, since it uses as much as digits as its factorization.

1625263488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7109 (or 7091 counting only the distinct ones).

The product of its digits is 552960, while the sum is 45.

The square root of 1625263488 is about 40314.5567754378. The cubic root of 1625263488 is about 1175.7308838595.

The spelling of 1625263488 in words is "one billion, six hundred twenty-five million, two hundred sixty-three thousand, four hundred eighty-eight".