365253331463130 has 128 divisors (see below), whose sum is σ = 960397518237696. Its totient is φ = 88167039840000.

The previous prime is 365253331463089. The next prime is 365253331463131. The reversal of 365253331463130 is 31364133352563.

It is a super-2 number, since 2×365253331463130² (a number of 30 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 365253331463130.

It is not an unprimeable number, because it can be changed into a prime (365253331463131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 276241152 + ... + 277560228.

It is an arithmetic number, because the mean of its divisors is an integer number (7503105611232).

Almost surely, 2^{365253331463130} is an apocalyptic number.

365253331463130 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 365253331463130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (480198759118848).

365253331463130 is an abundant number, since it is smaller than the sum of its proper divisors (595144186774566).

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

365253331463130 is a wasteful number, since it uses less digits than its factorization.

365253331463130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1322692.

The product of its (nonzero) digits is 5248800, while the sum is 48.

The spelling of 365253331463130 in words is "three hundred sixty-five trillion, two hundred fifty-three billion, three hundred thirty-one million, four hundred sixty-three thousand, one hundred thirty".