1007381615 has 16 divisors (see below), whose sum is σ = 1275938400. Its totient is φ = 761415552.

The previous prime is 1007381593. The next prime is 1007381629. The reversal of 1007381615 is 5161837001.

It is a cyclic number.

It is not a de Polignac number, because 1007381615 - 2¹⁴ = 1007365231 is a prime.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 21221 + ... + 49649.

It is an arithmetic number, because the mean of its divisors is an integer number (79746150).

Almost surely, 2^1007381615 is an apocalyptic number.

1007381615 is a deficient number, since it is larger than the sum of its proper divisors (268556785).

1007381615 is a wasteful number, since it uses less digits than its factorization.

1007381615 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28826.

The product of its (nonzero) digits is 5040, while the sum is 32.

The square root of 1007381615 is about 31739.2755903470. The cubic root of 1007381615 is about 1002.4545087908.

The spelling of 1007381615 in words is "one billion, seven million, three hundred eighty-one thousand, six hundred fifteen".