1248538100 has 18 divisors (see below), whose sum is σ = 2709327894. Its totient is φ = 499415200.

The previous prime is 1248538091. The next prime is 1248538103. The reversal of 1248538100 is 18358421.

It can be written as a sum of positive squares in 3 ways, for example, as 57183844 + 1191354256 = 7562^2 + 34516^2 .

It is a super-2 number, since 2×1248538100² = 3117694774303220000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1248538103) 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 5 ways as a sum of consecutive naturals, for example, 6242591 + ... + 6242790.

Almost surely, 2^1248538100 is an apocalyptic number.

1248538100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1248538100 is an abundant number, since it is smaller than the sum of its proper divisors (1460789794).

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

1248538100 is a wasteful number, since it uses less digits than its factorization.

1248538100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12485395 (or 12485388 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 32.

The square root of 1248538100 is about 35334.6586229441. The cubic root of 1248538100 is about 1076.7972387894.

The spelling of 1248538100 in words is "one billion, two hundred forty-eight million, five hundred thirty-eight thousand, one hundred".