1541361465 has 96 divisors (see below), whose sum is σ = 3122995200. Its totient is φ = 688735872.

The previous prime is 1541361461. The next prime is 1541361469. The reversal of 1541361465 is 5641631451.

It is an interprime number because it is at equal distance from previous prime (1541361461) and next prime (1541361469).

It is not a de Polignac number, because 1541361465 - 2² = 1541361461 is a prime.

It is a super-4 number, since 4×1541361465⁴ (a number of 38 digits) contains 4444 as substring.

It is not an unprimeable number, because it can be changed into a prime (1541361461) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4199712 + ... + 4200078.

It is an arithmetic number, because the mean of its divisors is an integer number (32531200).

Almost surely, 2^1541361465 is an apocalyptic number.

1541361465 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1541361465 is an abundant number, since it is smaller than the sum of its proper divisors (1581633735).

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

1541361465 is a wasteful number, since it uses less digits than its factorization.

1541361465 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 651 (or 648 counting only the distinct ones).

The product of its digits is 43200, while the sum is 36.

The square root of 1541361465 is about 39260.1765788184. The cubic root of 1541361465 is about 1155.1405574711.

The spelling of 1541361465 in words is "one billion, five hundred forty-one million, three hundred sixty-one thousand, four hundred sixty-five".