1007381538 has 24 divisors (see below), whose sum is σ = 2192456448. Its totient is φ = 334286712.

The previous prime is 1007381513. The next prime is 1007381561. The reversal of 1007381538 is 8351837001.

It is a Curzon 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, 121470 + ... + 129497.

It is an arithmetic number, because the mean of its divisors is an integer number (91352352).

Almost surely, 2^1007381538 is an apocalyptic number.

1007381538 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

1007381538 is an abundant number, since it is smaller than the sum of its proper divisors (1185074910).

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

1007381538 is a wasteful number, since it uses less digits than its factorization.

1007381538 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 251198 (or 251195 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 1007381538 is about 31739.2743773389. The cubic root of 1007381538 is about 1002.4544832496.

The spelling of 1007381538 in words is "one billion, seven million, three hundred eighty-one thousand, five hundred thirty-eight".