501967540225 has 24 divisors (see below), whose sum is σ = 644075260920. Its totient is φ = 387623040000.

The previous prime is 501967540223. The next prime is 501967540231. The reversal of 501967540225 is 522045769105.

It can be written as a sum of positive squares in 12 ways, for example, as 975375361 + 500992164864 = 31231^2 + 707808^2 .

It is not a de Polignac number, because 501967540225 - 2¹ = 501967540223 is a prime.

It is a super-2 number, since 2×501967540225² (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (501967540223) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2679625 + ... + 2860825.

It is an arithmetic number, because the mean of its divisors is an integer number (26836469205).

Almost surely, 2^501967540225 is an apocalyptic number.

It is an amenable number.

501967540225 is a deficient number, since it is larger than the sum of its proper divisors (142107720695).

501967540225 is a wasteful number, since it uses less digits than its factorization.

501967540225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185061 (or 185056 counting only the distinct ones).

The product of its (nonzero) digits is 756000, while the sum is 46.

The spelling of 501967540225 in words is "five hundred one billion, nine hundred sixty-seven million, five hundred forty thousand, two hundred twenty-five".