1005132051 has 48 divisors (see below), whose sum is σ = 1889700480. Its totient is φ = 522138960.

The previous prime is 1005132041. The next prime is 1005132061. The reversal of 1005132051 is 1502315001.

1005132051 is a `hidden beast` number, since 100 + 513 + 2 + 0 + 51 = 666.

It is an interprime number because it is at equal distance from previous prime (1005132041) and next prime (1005132061).

It is a de Polignac number, because none of the positive numbers 2^k-1005132051 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1005132001) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 19981 + ... + 49086.

It is an arithmetic number, because the mean of its divisors is an integer number (39368760).

Almost surely, 2^1005132051 is an apocalyptic number.

1005132051 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1005132051 is a deficient number, since it is larger than the sum of its proper divisors (884568429).

1005132051 is a wasteful number, since it uses less digits than its factorization.

1005132051 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69101 (or 69088 counting only the distinct ones).

The product of its (nonzero) digits is 150, while the sum is 18.

The square root of 1005132051 is about 31703.8176092407. The cubic root of 1005132051 is about 1001.7077655433.

Adding to 1005132051 its reverse (1502315001), we get a palindrome (2507447052).

The spelling of 1005132051 in words is "one billion, five million, one hundred thirty-two thousand, fifty-one".