20131149900625 has 15 divisors (see below), whose sum is σ = 25156025083453. Its totient is φ = 16104830185000.

The previous prime is 20131149900583. The next prime is 20131149900647. The reversal of 20131149900625 is 52600994113102.

The square root of 20131149900625 is 4486775.

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

It can be written as a sum of positive squares in 2 ways, for example, as 1578282152209 + 18552867748416 = 1256297^2 + 4307304^2 .

It is not a de Polignac number, because 20131149900625 - 2¹⁷ = 20131149769553 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 112079640 + ... + 112259110.

Almost surely, 2^{20131149900625} is an apocalyptic number.

20131149900625 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

20131149900625 is the 4486775-th square number.

20131149900625 is the 2243388-th centered octagonal number.

It is an amenable number.

20131149900625 is a deficient number, since it is larger than the sum of its proper divisors (5024875182828).

20131149900625 is an frugal number, since it uses more digits than its factorization.

20131149900625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 358962 (or 179476 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 43.

The spelling of 20131149900625 in words is "twenty trillion, one hundred thirty-one billion, one hundred forty-nine million, nine hundred thousand, six hundred twenty-five".