425935753280521 has 81 divisors (see below), whose sum is σ = 487858281939399. Its totient is φ = 371586861412800.

The previous prime is 425935753280507. The next prime is 425935753280623. The reversal of 425935753280521 is 125082357539524.

The square root of 425935753280521 is 20638211.

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

It can be written as a sum of positive squares in only one way, i.e., 20523971454921 + 405411781825600 = 4530339^2 + 20134840^2 .

It is a de Polignac number, because none of the positive numbers 2^k-425935753280521 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 425935753280521.

It is not an unprimeable number, because it can be changed into a prime (425935753280021) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 623624821446 + ... + 623624822128.

Almost surely, 2^{425935753280521} is an apocalyptic number.

425935753280521 is a gapful number since it is divisible by the number (41) formed by its first and last digit.

425935753280521 is the 20638211-st square number.

425935753280521 is the 10319106-th centered octagonal number.

It is an amenable number.

425935753280521 is a deficient number, since it is larger than the sum of its proper divisors (61922528658878).

425935753280521 is an frugal number, since it uses more digits than its factorization.

425935753280521 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1604 (or 802 counting only the distinct ones).

The product of its (nonzero) digits is 90720000, while the sum is 61.

The spelling of 425935753280521 in words is "four hundred twenty-five trillion, nine hundred thirty-five billion, seven hundred fifty-three million, two hundred eighty thousand, five hundred twenty-one".