625937901600001 has 9 divisors (see below), whose sum is σ = 627150122117571. Its totient is φ = 624728019820392.

The previous prime is 625937901599957. The next prime is 625937901600007. The reversal of 625937901600001 is 100006109739526.

The square root of 625937901600001 is 25018751.

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., 205879595735025 + 420058305864976 = 14348505^2 + 20495324^2 .

It is not a de Polignac number, because 625937901600001 - 2¹⁵ = 625937901567233 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (625937901600007) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 13084782855 + ... + 13084830691.

Almost surely, 2^{625937901600001} is an apocalyptic number.

625937901600001 is the 25018751-st square number.

625937901600001 is the 12509376-th centered octagonal number.

It is an amenable number.

625937901600001 is a deficient number, since it is larger than the sum of its proper divisors (1212220517570).

625937901600001 is an frugal number, since it uses more digits than its factorization.

625937901600001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96720 (or 48360 counting only the distinct ones).

The product of its (nonzero) digits is 612360, while the sum is 49.

The spelling of 625937901600001 in words is "six hundred twenty-five trillion, nine hundred thirty-seven billion, nine hundred one million, six hundred thousand, one".