213830419725 has 288 divisors, whose sum is σ = 445022183424. Its totient is φ = 101070892800.

The previous prime is 213830419709. The next prime is 213830419727. The reversal of 213830419725 is 527914038312.

It is a happy number.

213830419725 is a `hidden beast` number, since 2 + 138 + 30 + 419 + 72 + 5 = 666.

It is not a de Polignac number, because 213830419725 - 2⁴ = 213830419709 is a prime.

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 not an unprimeable number, because it can be changed into a prime (213830419727) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 408853314 + ... + 408853836.

Almost surely, 2^213830419725 is an apocalyptic number.

213830419725 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

213830419725 is an abundant number, since it is smaller than the sum of its proper divisors (231191763699).

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

213830419725 is a wasteful number, since it uses less digits than its factorization.

213830419725 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 759 (or 742 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 213830419725 in words is "two hundred thirteen billion, eight hundred thirty million, four hundred nineteen thousand, seven hundred twenty-five".