1506768952 has 32 divisors (see below), whose sum is σ = 3051064800. Its totient is φ = 693477504.

The previous prime is 1506768947. The next prime is 1506768953. The reversal of 1506768952 is 2598676051.

It is a super-2 number, since 2×1506768952² = 4540705349422356608, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1506768896 and 1506768905.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1506768953) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17158 + ... + 57514.

It is an arithmetic number, because the mean of its divisors is an integer number (95345775).

Almost surely, 2^1506768952 is an apocalyptic number.

It is an amenable number.

1506768952 is an abundant number, since it is smaller than the sum of its proper divisors (1544295848).

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

1506768952 is a wasteful number, since it uses less digits than its factorization.

1506768952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40735 (or 40731 counting only the distinct ones).

The product of its (nonzero) digits is 907200, while the sum is 49.

The square root of 1506768952 is about 38817.1218922784. The cubic root of 1506768952 is about 1146.4335513283.

The spelling of 1506768952 in words is "one billion, five hundred six million, seven hundred sixty-eight thousand, nine hundred fifty-two".