264351253530 has 256 divisors, whose sum is σ = 823325368320. Its totient is φ = 52751305728.

The previous prime is 264351253489. The next prime is 264351253531. The reversal of 264351253530 is 35352153462.

264351253530 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (264351253531) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 33555952 + ... + 33563828.

It is an arithmetic number, because the mean of its divisors is an integer number (3216114720).

Almost surely, 2^264351253530 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 264351253530, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (411662684160).

264351253530 is an abundant number, since it is smaller than the sum of its proper divisors (558974114790).

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

264351253530 is a wasteful number, since it uses less digits than its factorization.

264351253530 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8573.

The product of its (nonzero) digits is 324000, while the sum is 39.

The spelling of 264351253530 in words is "two hundred sixty-four billion, three hundred fifty-one million, two hundred fifty-three thousand, five hundred thirty".