213905248657506 has 96 divisors (see below), whose sum is σ = 559231950950400. Its totient is φ = 57724242887520.

The previous prime is 213905248657483. The next prime is 213905248657531. The reversal of 213905248657506 is 605756842509312.

213905248657506 is a `hidden beast` number, since 2 + 1 + 3 + 9 + 0 + 52 + 4 + 8 + 6 + 575 + 0 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 134178226 + ... + 135763053.

It is an arithmetic number, because the mean of its divisors is an integer number (5825332822400).

It is a 1-persistent number, because it is pandigital, but 2⋅213905248657506 = 427810497315012 is not.

Almost surely, 2^{213905248657506} is an apocalyptic number.

213905248657506 is an abundant number, since it is smaller than the sum of its proper divisors (345326702292894).

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

213905248657506 is a wasteful number, since it uses less digits than its factorization.

213905248657506 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 269941644 (or 269941641 counting only the distinct ones).

The product of its (nonzero) digits is 108864000, while the sum is 63.

The spelling of 213905248657506 in words is "two hundred thirteen trillion, nine hundred five billion, two hundred forty-eight million, six hundred fifty-seven thousand, five hundred six".