501461307 has 16 divisors (see below), whose sum is σ = 743841280. Its totient is φ = 333886536.

The previous prime is 501461293. The next prime is 501461321. The reversal of 501461307 is 703164105.

It is an interprime number because it is at equal distance from previous prime (501461293) and next prime (501461321).

It is not a de Polignac number, because 501461307 - 2¹⁶ = 501395771 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (501461507) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10938 + ... + 33504.

It is an arithmetic number, because the mean of its divisors is an integer number (46490080).

Almost surely, 2^501461307 is an apocalyptic number.

501461307 is a deficient number, since it is larger than the sum of its proper divisors (242379973).

501461307 is a wasteful number, since it uses less digits than its factorization.

501461307 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23399 (or 23393 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 501461307 is about 22393.3317530018. The cubic root of 501461307 is about 794.4730006800.

The spelling of 501461307 in words is "five hundred one million, four hundred sixty-one thousand, three hundred seven".