157006509 has 32 divisors (see below), whose sum is σ = 243025920. Its totient is φ = 89107200.

The previous prime is 157006483. The next prime is 157006523. The reversal of 157006509 is 905600751.

It is not a de Polignac number, because 157006509 - 2¹² = 157002413 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a self number, because there is not a number n which added to its sum of digits gives 157006509.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (157006559) 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 31 ways as a sum of consecutive naturals, for example, 133494 + ... + 134664.

It is an arithmetic number, because the mean of its divisors is an integer number (7594560).

Almost surely, 2^157006509 is an apocalyptic number.

It is an amenable number.

157006509 is a deficient number, since it is larger than the sum of its proper divisors (86019411).

157006509 is a wasteful number, since it uses less digits than its factorization.

157006509 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1441.

The product of its (nonzero) digits is 9450, while the sum is 33.

The square root of 157006509 is about 12530.2238208262. The cubic root of 157006509 is about 539.4765263185.

The spelling of 157006509 in words is "one hundred fifty-seven million, six thousand, five hundred nine".