1953587653264 has 45 divisors (see below), whose sum is σ = 4098785166633. Its totient is φ = 901622294976.

The previous prime is 1953587653247. The next prime is 1953587653273. The reversal of 1953587653264 is 4623567853591.

The square root of 1953587653264 is 1397708.

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., 288992256400 + 1664595396864 = 537580^2 + 1290192^2 .

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1953587653196 and 1953587653205.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 72667377 + ... + 72694255.

Almost surely, 2^{1953587653264} is an apocalyptic number.

1953587653264 is the 1397708-th square number.

It is an amenable number.

1953587653264 is an abundant number, since it is smaller than the sum of its proper divisors (2145197513369).

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

1953587653264 is an frugal number, since it uses more digits than its factorization.

1953587653264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53792 (or 26894 counting only the distinct ones).

The product of its digits is 163296000, while the sum is 64.

Multiplying 1953587653264 by its sum of digits (64), we get a square (125029609808896 = 11181664²).

The spelling of 1953587653264 in words is "one trillion, nine hundred fifty-three billion, five hundred eighty-seven million, six hundred fifty-three thousand, two hundred sixty-four".