213585572430 has 48 divisors (see below), whose sum is σ = 555667145280. Its totient is φ = 56920803264.

The previous prime is 213585572419. The next prime is 213585572441. The reversal of 213585572430 is 34275585312.

213585572430 is a `hidden beast` number, since 2 + 1 + 3 + 58 + 557 + 2 + 43 + 0 = 666.

213585572430 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (213585572419) and next prime (213585572441).

It is a super-2 number, since 2×213585572430² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 590470 + ... + 880809.

It is an arithmetic number, because the mean of its divisors is an integer number (11576398860).

Almost surely, 2^213585572430 is an apocalyptic number.

213585572430 is an abundant number, since it is smaller than the sum of its proper divisors (342081572850).

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

213585572430 is a wasteful number, since it uses less digits than its factorization.

213585572430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1472905 (or 1472902 counting only the distinct ones).

The product of its (nonzero) digits is 1008000, while the sum is 45.

The spelling of 213585572430 in words is "two hundred thirteen billion, five hundred eighty-five million, five hundred seventy-two thousand, four hundred thirty".