1007641357 has 16 divisors (see below), whose sum is σ = 1083060720. Its totient is φ = 934100992.

The previous prime is 1007641351. The next prime is 1007641361. The reversal of 1007641357 is 7531467001.

1007641357 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 216119401 + 791521956 = 14701^2 + 28134^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-1007641357 is a prime.

It is a super-2 number, since 2×1007641357² = 2030682208673602898, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1007641351) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 442173 + ... + 444445.

It is an arithmetic number, because the mean of its divisors is an integer number (67691295).

Almost surely, 2^1007641357 is an apocalyptic number.

1007641357 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

It is an amenable number.

1007641357 is a deficient number, since it is larger than the sum of its proper divisors (75419363).

1007641357 is a wasteful number, since it uses less digits than its factorization.

1007641357 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2672.

The product of its (nonzero) digits is 17640, while the sum is 34.

The square root of 1007641357 is about 31743.3671339384. The cubic root of 1007641357 is about 1002.5406585873.

The spelling of 1007641357 in words is "one billion, seven million, six hundred forty-one thousand, three hundred fifty-seven".