1625062656 has 288 divisors, whose sum is σ = 5232640000. Its totient is φ = 447068160.

The previous prime is 1625062651. The next prime is 1625062667. The reversal of 1625062656 is 6562605261.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1625062651) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8166045 + ... + 8166243.

Almost surely, 2^1625062656 is an apocalyptic number.

1625062656 is a gapful number since it is divisible by the number (16) 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 1625062656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2616320000).

1625062656 is an abundant number, since it is smaller than the sum of its proper divisors (3607577344).

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

1625062656 is an equidigital number, since it uses as much as digits as its factorization.

1625062656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 270 (or 242 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 39.

The square root of 1625062656 is about 40312.0658860347. The cubic root of 1625062656 is about 1175.6824539458.

The spelling of 1625062656 in words is "one billion, six hundred twenty-five million, sixty-two thousand, six hundred fifty-six".