1001051415 has 48 divisors (see below), whose sum is σ = 2135585088. Its totient is φ = 422419968.

The previous prime is 1001051413. The next prime is 1001051431. The reversal of 1001051415 is 5141501001.

It is a happy number.

It is not a de Polignac number, because 1001051415 - 2¹ = 1001051413 is a prime.

It is a super-4 number, since 4×1001051415⁴ (a number of 37 digits) contains 4444 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1001051413) 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, 118134 + ... + 126323.

It is an arithmetic number, because the mean of its divisors is an integer number (44491356).

Almost surely, 2^1001051415 is an apocalyptic number.

1001051415 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

1001051415 is an abundant number, since it is smaller than the sum of its proper divisors (1134533673).

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

1001051415 is a wasteful number, since it uses less digits than its factorization.

1001051415 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 244488 (or 244485 counting only the distinct ones).

The product of its (nonzero) digits is 100, while the sum is 18.

The square root of 1001051415 is about 31639.3965650421. The cubic root of 1001051415 is about 1000.3503489080.

Adding to 1001051415 its reverse (5141501001), we get a palindrome (6142552416).

It can be divided in two parts, 10010 and 51415, that added together give a triangular number (61425 = T₃₅₀).

The spelling of 1001051415 in words is "one billion, one million, fifty-one thousand, four hundred fifteen".