1248293952 has 84 divisors (see below), whose sum is σ = 3788510076. Its totient is φ = 391618560.

The previous prime is 1248293933. The next prime is 1248293971. The reversal of 1248293952 is 2593928421.

It is an interprime number because it is at equal distance from previous prime (1248293933) and next prime (1248293971).

It can be written as a sum of positive squares in 2 ways, for example, as 901440576 + 346853376 = 30024^2 + 18624^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1248293898 and 1248293907.

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 53949 + ... + 73532.

Almost surely, 2^1248293952 is an apocalyptic number.

1248293952 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1248293952 is an abundant number, since it is smaller than the sum of its proper divisors (2540216124).

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

1248293952 is a wasteful number, since it uses less digits than its factorization.

1248293952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127516 (or 127503 counting only the distinct ones).

The product of its digits is 311040, while the sum is 45.

The square root of 1248293952 is about 35331.2036590887. The cubic root of 1248293952 is about 1076.7270460227.

The spelling of 1248293952 in words is "one billion, two hundred forty-eight million, two hundred ninety-three thousand, nine hundred fifty-two".