530513601408 has 384 divisors, whose sum is σ = 1823456448000. Its totient is φ = 151403019264.

The previous prime is 530513601341. The next prime is 530513601433. The reversal of 530513601408 is 804106315035.

530513601408 is a `hidden beast` number, since 5 + 3 + 0 + 5 + 1 + 3 + 601 + 40 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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, 268070563 + ... + 268072541.

It is an arithmetic number, because the mean of its divisors is an integer number (4748584500).

Almost surely, 2^530513601408 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 530513601408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (911728224000).

530513601408 is an abundant number, since it is smaller than the sum of its proper divisors (1292942846592).

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

530513601408 is a wasteful number, since it uses less digits than its factorization.

530513601408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3599 (or 3574 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The spelling of 530513601408 in words is "five hundred thirty billion, five hundred thirteen million, six hundred one thousand, four hundred eight".