1300493952 has 48 divisors (see below), whose sum is σ = 3742310130. Its totient is φ = 433497600.

The previous prime is 1300493923. The next prime is 1300493959. The reversal of 1300493952 is 2593940031.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 803382336 + 497111616 = 28344^2 + 22296^2 .

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (1300493959) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 563299 + ... + 565602.

Almost surely, 2^1300493952 is an apocalyptic number.

1300493952 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1300493952 is an abundant number, since it is smaller than the sum of its proper divisors (2441816178).

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

1300493952 is a wasteful number, since it uses less digits than its factorization.

1300493952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1128921 (or 1128906 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 36.

The square root of 1300493952 is about 36062.3619858711. The cubic root of 1300493952 is about 1091.5310952234.

The spelling of 1300493952 in words is "one billion, three hundred million, four hundred ninety-three thousand, nine hundred fifty-two".