507053260 has 48 divisors (see below), whose sum is σ = 1221353280. Its totient is φ = 173214720.

The previous prime is 507053227. The next prime is 507053293. The reversal of 507053260 is 62350705.

It is an interprime number because it is at equal distance from previous prime (507053227) and next prime (507053293).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32896 + ... + 45784.

It is an arithmetic number, because the mean of its divisors is an integer number (25444860).

Almost surely, 2^507053260 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 507053260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (610676640).

507053260 is an abundant number, since it is smaller than the sum of its proper divisors (714300020).

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

507053260 is a wasteful number, since it uses less digits than its factorization.

507053260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13186 (or 13184 counting only the distinct ones).

The product of its (nonzero) digits is 6300, while the sum is 28.

The square root of 507053260 is about 22517.8431471578. The cubic root of 507053260 is about 797.4152306200.

The spelling of 507053260 in words is "five hundred seven million, fifty-three thousand, two hundred sixty".