1852100524561 has 27 divisors (see below), whose sum is σ = 2164291714161. Its totient is φ = 1580320917504.

The previous prime is 1852100524531. The next prime is 1852100524619. The reversal of 1852100524561 is 1654250012581.

The square root of 1852100524561 is 1360919.

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

It can be written as a sum of positive squares in 4 ways, for example, as 196616862225 + 1655483662336 = 443415^2 + 1286656^2 .

It is not a de Polignac number, because 1852100524561 - 2²³ = 1852092135953 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1852100524501) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 4124945265 + ... + 4124945713.

Almost surely, 2^{1852100524561} is an apocalyptic number.

1852100524561 is the 1360919-th square number.

1852100524561 is the 680460-th centered octagonal number.

It is an amenable number.

1852100524561 is a deficient number, since it is larger than the sum of its proper divisors (312191189600).

1852100524561 is an frugal number, since it uses more digits than its factorization.

1852100524561 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1778 (or 889 counting only the distinct ones).

The product of its (nonzero) digits is 96000, while the sum is 40.

The spelling of 1852100524561 in words is "one trillion, eight hundred fifty-two billion, one hundred million, five hundred twenty-four thousand, five hundred sixty-one".