1252964107 has 16 divisors (see below), whose sum is σ = 1374499584. Its totient is φ = 1137024000.

The previous prime is 1252964087. The next prime is 1252964113. The reversal of 1252964107 is 7014692521.

It is a cyclic number.

It is not a de Polignac number, because 1252964107 - 2¹⁹ = 1252439819 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1252964137) 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 15 ways as a sum of consecutive naturals, for example, 143857 + ... + 152317.

It is an arithmetic number, because the mean of its divisors is an integer number (85906224).

Almost surely, 2^1252964107 is an apocalyptic number.

1252964107 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

1252964107 is a deficient number, since it is larger than the sum of its proper divisors (121535477).

1252964107 is a wasteful number, since it uses less digits than its factorization.

1252964107 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8790.

The product of its (nonzero) digits is 30240, while the sum is 37.

The square root of 1252964107 is about 35397.2330415811. The cubic root of 1252964107 is about 1078.0681362064.

It can be divided in two parts, 12529 and 64107, that added together give a triangular number (76636 = T₃₉₁).

The spelling of 1252964107 in words is "one billion, two hundred fifty-two million, nine hundred sixty-four thousand, one hundred seven".