20586356253961 has 9 divisors (see below), whose sum is σ = 21726965589543. Its totient is φ = 19502782149600.

The previous prime is 20586356253941. The next prime is 20586356254003. The reversal of 20586356253961 is 16935265368502.

The square root of 20586356253961 is 4537219.

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., 20856847561 + 20565499406400 = 144419^2 + 4534920^2 .

It is not a de Polignac number, because 20586356253961 - 2⁷ = 20586356253833 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 20586356253961.

It is not an unprimeable number, because it can be changed into a prime (20586356253941) 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, 86087761 + ... + 86326561.

It is an arithmetic number, because the mean of its divisors is an integer number (2414107287727).

Almost surely, 2^{20586356253961} is an apocalyptic number.

20586356253961 is the 4537219-th square number.

20586356253961 is the 2268610-th centered octagonal number.

It is an amenable number.

20586356253961 is a deficient number, since it is larger than the sum of its proper divisors (1140609335582).

20586356253961 is an frugal number, since it uses more digits than its factorization.

20586356253961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 477640 (or 238820 counting only the distinct ones).

The product of its (nonzero) digits is 69984000, while the sum is 61.

The spelling of 20586356253961 in words is "twenty trillion, five hundred eighty-six billion, three hundred fifty-six million, two hundred fifty-three thousand, nine hundred sixty-one".