1007538900 has 36 divisors (see below), whose sum is σ = 2915146752. Its totient is φ = 268676960.

The previous prime is 1007538899. The next prime is 1007538901. The reversal of 1007538900 is 98357001.

1007538900 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (1007538899) and next prime (1007538901).

It is a super-3 number, since 3×1007538900³ (a number of 28 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1007538901) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1678932 + ... + 1679531.

Almost surely, 2^1007538900 is an apocalyptic number.

1007538900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1007538900 is an abundant number, since it is smaller than the sum of its proper divisors (1907607852).

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

1007538900 is a wasteful number, since it uses less digits than its factorization.

1007538900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3358480 (or 3358473 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 33.

The square root of 1007538900 is about 31741.7532597051. The cubic root of 1007538900 is about 1002.5066779820.

The spelling of 1007538900 in words is "one billion, seven million, five hundred thirty-eight thousand, nine hundred".