1023409541 has 48 divisors (see below), whose sum is σ = 1399431168. Its totient is φ = 737906400.

The previous prime is 1023409511. The next prime is 1023409547. The reversal of 1023409541 is 1459043201.

It is not a de Polignac number, because 1023409541 - 2⁶ = 1023409477 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1023409547) 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, 382976 + ... + 385638.

It is an arithmetic number, because the mean of its divisors is an integer number (29154816).

Almost surely, 2^1023409541 is an apocalyptic number.

1023409541 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1023409541 is a deficient number, since it is larger than the sum of its proper divisors (376021627).

1023409541 is a wasteful number, since it uses less digits than its factorization.

1023409541 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2742 (or 2735 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 29.

The square root of 1023409541 is about 31990.7727477784. The cubic root of 1023409541 is about 1007.7430704478.

The spelling of 1023409541 in words is "one billion, twenty-three million, four hundred nine thousand, five hundred forty-one".