264752033131530 has 192 divisors, whose sum is σ = 803267084505600. Its totient is φ = 60475520657664.

The previous prime is 264752033131499. The next prime is 264752033131567. The reversal of 264752033131530 is 35131330257462.

264752033131530 is a `hidden beast` number, since 2 + 6 + 4 + 7 + 52 + 0 + 3 + 31 + 31 + 530 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 44853294 + ... + 50411526.

It is an arithmetic number, because the mean of its divisors is an integer number (4183682731800).

Almost surely, 2^{264752033131530} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 264752033131530, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (401633542252800).

264752033131530 is an abundant number, since it is smaller than the sum of its proper divisors (538515051374070).

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

264752033131530 is a wasteful number, since it uses less digits than its factorization.

264752033131530 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5559810 (or 5559793 counting only the distinct ones).

The product of its (nonzero) digits is 1360800, while the sum is 45.

Adding to 264752033131530 its reverse (35131330257462), we get a palindrome (299883363388992).

The spelling of 264752033131530 in words is "two hundred sixty-four trillion, seven hundred fifty-two billion, thirty-three million, one hundred thirty-one thousand, five hundred thirty".