213562142625 has 256 divisors, whose sum is σ = 408673714176. Its totient is φ = 98300160000.

The previous prime is 213562142623. The next prime is 213562142657. The reversal of 213562142625 is 526241265312.

It is not a de Polignac number, because 213562142625 - 2¹ = 213562142623 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (213562142623) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 760007485 + ... + 760007765.

It is an arithmetic number, because the mean of its divisors is an integer number (1596381696).

Almost surely, 2^213562142625 is an apocalyptic number.

213562142625 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

213562142625 is a deficient number, since it is larger than the sum of its proper divisors (195111571551).

213562142625 is a wasteful number, since it uses less digits than its factorization.

213562142625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 497 (or 487 counting only the distinct ones).

The product of its digits is 172800, while the sum is 39.

The spelling of 213562142625 in words is "two hundred thirteen billion, five hundred sixty-two million, one hundred forty-two thousand, six hundred twenty-five".