212986221525 has 480 divisors, whose sum is σ = 513007165440. Its totient is φ = 84773952000.

The previous prime is 212986221493. The next prime is 212986221533. The reversal of 212986221525 is 525122689212.

212986221525 is a `hidden beast` number, since 2 + 1 + 2 + 9 + 8 + 622 + 15 + 2 + 5 = 666.

It is not a de Polignac number, because 212986221525 - 2⁵ = 212986221493 is a prime.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 671880667 + ... + 671880983.

It is an arithmetic number, because the mean of its divisors is an integer number (1068764928).

Almost surely, 2^212986221525 is an apocalyptic number.

212986221525 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

212986221525 is an abundant number, since it is smaller than the sum of its proper divisors (300020943915).

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

212986221525 is a wasteful number, since it uses less digits than its factorization.

212986221525 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 527 (or 513 counting only the distinct ones).

The product of its digits is 345600, while the sum is 45.

The spelling of 212986221525 in words is "two hundred twelve billion, nine hundred eighty-six million, two hundred twenty-one thousand, five hundred twenty-five".